1. Perform a depth-first search on the graph assuming that the vertices and adjacency lists are listed in alphabetical order. Classify each edge as tree, forward, back or cross edge. Label each vertex with its start and finish time.

2. Remove all the back edges from the graph so it becomes a DAG. Perform a depth-first search recording the start and finish times. Using those finish times, provide the topological order that is produced. Provide one breadth-first topological order for that graph.

Consider the following directed graph for each of the problems